Just an interesting fact that the 787 has been tested to m0.97 in a dive, pretty impressive! But not near 801 MPH airspeed.
https://web.archive.org/web/20110408073905/http://www.flight...
https://web.archive.org/web/20110408073905/http://www.flight...
This is incorrect. The speed of sound in an ideal gas is a function of temperature only, and not its density. Namely, it is sqrt(gamma x R x T), where R and gamma are unchanging properties of the gas.